1313941200 has 720 divisors, whose sum is σ = 5402511360. Its totient is φ = 269568000.

The previous prime is 1313941177. The next prime is 1313941201. The reversal of 1313941200 is 21493131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313941201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42385185 + ... + 42385215.

It is an arithmetic number, because the mean of its divisors is an integer number (7503488).

Almost surely, 2^1313941200 is an apocalyptic number.

1313941200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701255680).

1313941200 is an abundant number, since it is smaller than the sum of its proper divisors (4088570160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313941200 is a wasteful number, since it uses less digits than its factorization.

1313941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1313941200 is about 36248.3268579393. The cubic root of 1313941200 is about 1095.2803852366.

The spelling of 1313941200 in words is "one billion, three hundred thirteen million, nine hundred forty-one thousand, two hundred".